I don't know of any studies, but I suspect there would be some.
In addition to the question of "how do we share income in a less-work world?", there is the question "how do we ensure that the are opportunities for everyone to contribute something meaningful to society?"
Ideally those questions would connect - we would use our increased product(ivity) to fund a wider range of human endeavours that might not have been considered "economically productive" in previous generations.
I don't know what that looks like, but I would hope it means more art and science, rather than more soul crushing, meaningless busy-work.
Maybe not many, but I feel pretty confident that number is greater than 0.
One of the hopes of UBI is that when everyone receives a salary just from being alive, and working earns you extra on top of that, whether one works become more of a choice (like living frugally) instead of a failure, and loneliness is reduced when unemployment isn't an evil to combat, and more people choose to do something else.
Are we sure this isn't true? Are people who don't have to work (e.g. those on permanent disability in the US) more or less happy than comparable people in dead-end soulless jobs?